# Small dipentary hexacosihecatonicosachoron

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Small dipentary hexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidpaxhi |

Elements | |

Cells | 120 ri, 600 cho |

Faces | 3600 squares, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 1440 |

Vertex figure | Non-noble pentagonal stephanoid (1-2), edge lengths √2 and √3 (both bowtie and butterfly faces) |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great dipentary hexacosihecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | –480 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small dipentary hexacosihecatonicosachoron**, or **sidpaxhi**, is a nonconvex uniform polychoron that consists of 120 rhombicosahedra and 600 cubohemioctahedra. Five rhombicosahedra and five cubohemioctahedra join at each vertex.

It has the same cell counts as its conjugate, the great dipentary hexacosihecatonicosachoron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 21: Padohi Regiment" (#991).

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